Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/844, 89/797, 63/182 quickly i.e. 28035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/844, 89/797, 63/182 is 28035.
LCM(5/844, 89/797, 63/182) = 28035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/844,89/797,63/182
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 5,89,63
Least Common Multiple of Numerators i.e. LCM of 5,89,63 is 28035.
GCF of Denominators means GCF of 844,797,182 as per the given fractions.
GCF of 844,797,182 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,89,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 28035
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 5,89,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,89,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,89,63) x common factors =1 x 1 = 1
LCM(5,89,63) = ( 5 × 89 × 63 ) / 1
LCM(5,89,63) = 28035 / 1
LCM(5,89,63) = 28035
Lets's calculate GCF of 844,797,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28035/1
Therefore the LCM of Fractions 5/844,89/797,63/182 is 28035
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 844,797,182 . The biggest common factor number is the GCF number.
So the greatest common factor 844,797,182 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 5/844, 89/797, 63/182?
Answer: LCM of Numerators as per given numbers 5/844, 89/797, 63/182 is
LCM of Numerators i.e. for 5,89,63 is 28035
GCF of denominators i.e. for 844,797,182 is 1.
Thus, LCM of Fractions is 28035.Finally, LCM of Fractions for 5/844, 89/797, 63/182 is 28035.